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<p align="center">
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<img width="70%" height="70%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/boundary-3D.png">
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<img width="70%" height="70%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/boundary-3D.png">
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</p>
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<h3 align="center">Support Vector Data Description (SVDD)</h3>
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## Notices
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- This version of the code is not compatible with the versions lower than R2016b.
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- This version of the code is not compatible with the versions lower than ***R2016b***.
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- The label must be 1 for positive sample or -1 for negative sample.
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- Detailed applications please see the demonstrations.
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- This code is for reference only.
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[trainData, trainLabel, testData, testLabel] = DataSet.partition(data, label, 'type', 'hybrid');
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```
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<p align="center">
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<img width="30%" height="30%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/banana-2D.png">
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<img width="30%" height="30%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/banana-3D.png">
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<img width="30%" height="30%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/banana-2D.png">
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<img width="30%" height="30%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/banana-3D.png">
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</p>
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### 02. Kernel funcions
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svplot.ROC(svdd);
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```
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<p align="center">
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<img width="40%" height="40%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/ROC-3D.png">
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<img width="40%" height="40%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/ROC-3D.png">
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</p>
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The decision boundaries (only supported for 2D/3D dataset) are
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svplot.boundary(svdd);
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```
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<p align="center">
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<img width="70%" height="70%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/boundary-2D.png">
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<img width="70%" height="70%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/boundary-2D.png">
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</p>
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<p align="center">
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<img width="70%" height="70%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/boundary-3D.png">
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<img width="70%" height="70%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/boundary-3D.png">
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</p>
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The distance between the test data and the hypersphere is
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```
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svplot.distance(svdd, results);
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```
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<p align="center">
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<img width="40%" height="40%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/distance-3D.png">
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<img width="40%" height="40%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/distance-3D.png">
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</p>
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For the test results, the test data and decision boundary (only supported for 2D/3D dataset) are
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```
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svplot.testDataWithBoundary(svdd, results);
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```
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<p align="center">
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<img width="40%" height="40%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/boundary-tets-2D.png">
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<img width="40%" height="40%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/boundary-tets-3D.png">
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<img width="40%" height="40%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/boundary-tets-2D.png">
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<img width="40%" height="40%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/boundary-tets-3D.png">
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</p>
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### 05. Parameter Optimization
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The visualization of parameter optimization is
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<p align="center">
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<img width="40%" height="40%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/bayesopt.png">
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<img width="40%" height="40%" src="https://github.com/iqiukp/Support-Vector-Data-Description-SVDD/blob/master/img/bayesopt-1.png">
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<img width="40%" height="40%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/bayesopt.png">
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<img width="40%" height="40%" src="https://github-files-qiu.oss-cn-beijing.aliyuncs.com/SVDD-MATLAB/bayesopt-1.png">
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</p>
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**Notice**

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